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Simplifying (2x + -3)(4y + -6) = 0 Reorder the terms: (-3 + 2x)(4y + -6) = 0 Reorder the terms: (-3 + 2x)(-6 + 4y) = 0 Multiply (-3 + 2x) * (-6 + 4y) (-3(-6 + 4y) + 2x * (-6 + 4y)) = 0 ((-6 * -3 + 4y * -3) + 2x * (-6 + 4y)) = 0 ((18 + -12y) + 2x * (-6 + 4y)) = 0 (18 + -12y + (-6 * 2x + 4y * 2x)) = 0 (18 + -12y + (-12x + 8xy)) = 0 Reorder the terms: (18 + -12x + 8xy + -12y) = 0 (18 + -12x + 8xy + -12y) = 0 Solving 18 + -12x + 8xy + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -12x + 8xy + -18 + -12y = 0 + -18 Reorder the terms: 18 + -18 + -12x + 8xy + -12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -12x + 8xy + -12y = 0 + -18 -12x + 8xy + -12y = 0 + -18 Combine like terms: 0 + -18 = -18 -12x + 8xy + -12y = -18 Add '12y' to each side of the equation. -12x + 8xy + -12y + 12y = -18 + 12y Combine like terms: -12y + 12y = 0 -12x + 8xy + 0 = -18 + 12y -12x + 8xy = -18 + 12y Reorder the terms: 18 + -12x + 8xy + -12y = -18 + 12y + 18 + -12y Reorder the terms: 18 + -12x + 8xy + -12y = -18 + 18 + 12y + -12y Combine like terms: -18 + 18 = 0 18 + -12x + 8xy + -12y = 0 + 12y + -12y 18 + -12x + 8xy + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 18 + -12x + 8xy + -12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -6x + 4xy + -6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -6x + 4xy + -6y)' equal to zero and attempt to solve: Simplifying 9 + -6x + 4xy + -6y = 0 Solving 9 + -6x + 4xy + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -6x + 4xy + -9 + -6y = 0 + -9 Reorder the terms: 9 + -9 + -6x + 4xy + -6y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6x + 4xy + -6y = 0 + -9 -6x + 4xy + -6y = 0 + -9 Combine like terms: 0 + -9 = -9 -6x + 4xy + -6y = -9 Add '6y' to each side of the equation. -6x + 4xy + -6y + 6y = -9 + 6y Combine like terms: -6y + 6y = 0 -6x + 4xy + 0 = -9 + 6y -6x + 4xy = -9 + 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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